What is the standard formula used to determine a line's equation in slope-intercept form?

The standard formula used to express a line's equation in slope-intercept form is represented as Y = MX + B. In this formula, "M" signifies the slope of the line, indicating how steep the line is and the direction it goes (upward or downward), while "B" represents the y-intercept, which is the point where the line crosses the y-axis. This form is particularly useful because it allows for quick identification of the slope and y-intercept, which are critical for graphing the line and understanding its behavior in relation to other lines or functions.

This clear structure helps in easily manipulating the equation for various calculations, such as finding points on the line or determining parallel and perpendicular lines. Each component of the equation plays a vital role in defining the characteristics of the linear relationship represented by the graph.